Properties of the Number 83772

Eighty-Three Thousand Seven Hundred Seventy-Two

Basics

Value: 83771 → 83772 → 83773

Parity: even

Prime: No

Previous Prime: 83761

Next Prime: 83773

Digit Sum: 27

Digital Root: 9

Palindrome: No

Factorization: 2 ² × 3 ² × 13 × 179

Divisors: 1, 2, 3, 4, 6, 9, 12, 13, 18, 26

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10100011100111100

Octal: 243474

Duodecimal: 40590

Hexadecimal: 1473c

Square: 7017747984

Square Root: 289.43393028461605

Classification

Fibonacci: No

Bell Number: No

Factorial Number: No

Regular Number: No

Perfect Number: No

Special

Kaprekar Constant: No

Munchausen Constant: No

Armstrong Number: No

Kaprekar Number: No

Catalan Number: No

Vampire Number: No

Taxicab Number: No

Super Prime: No

Friedman Number: No

Fermat Number: No

Cullen Number: No

OEIS Sequences

Amicable triples: numbers such that σ(x) = σ(y) = σ(z) = x+y+z, x<y<z. We order these triples according to the common value of σ. Sequence gives z numbers. A125492

Numbers·such that there exist three integers 0<x<=y<=z and t>0 such that σ(x)² = σ(y)² = σ(z)² = x² + y² + z² + t². A385531

a(n) = binomial(n²,n) mod n⁵. A371471

G.f. A(x) satisfies: [xⁿ] A(x)ⁿ = [xⁿ] A(x)^n-1 for n>1 with A(0)=A'(0)=1. A158882

Primes arising in A083771. A83772